Characterizations and properties of dual matrix star orders

TL;DR

This paper introduces new dual matrix star orders and explores their properties, characterizations, and interrelations using matrix decomposition and dual generalized inverses.

Contribution

It presents novel dual matrix star orders and analyzes their properties and relationships, expanding the theoretical framework of matrix orderings.

Findings

Defined D-star, T-star, and P-star orders on dual matrices

Established properties and characterizations of these orders

Illustrated relations with examples

Abstract

In this paper, we introduce D-star order, T-star order and P-star order on the class of dual matrices. By applying matrix decomposition and dual generalized inverses, we discuss properties, characterizations and relations among these orders, and illustrate their relations with examples.